REDUCTION OF THE N-COMPONENT SCALAR MODEL AT TWO LOOP LEVEL

Abstract

Dimensional reduction of high temperature field theories improves IR features of their perturbative treatment. A crucial question is, what three-dimensional theory is representing the full system the most faithful way. Careful investigation of the induced 3-dimensional counterterm structure of the finite temperature 4D O(N) symmetric scalar theory at 2-loop level leads to proposing the presence of non-local operators in the effective theory. On scales beyond $\mathcal{O}(T^{-1})$, the scaling behavior of the couplings, consequently, deviates from the usual three-dimensional scaling characteristic for superrenormalizable theories.

16 pages, revtex v3.0

References in corpus (11)

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Cited by in corpus (11)

• Quark mass thresholds in QCD thermodynamics
• Effective Theories of MSSM at High Temperature
• Classical approximation for time dependent quantum field theory: diagrammatic analysis for hot scalar fields
• Two-loop dimensional reduction and effective potential without temperature expansions
• High Temperature Dimensional Reduction and Parity Violation
• The Free Energy of High Temperature QED to Order $e^5$ From Effective Field Theory
• Partial Path Integration of Quantum Fields: Two-Loop Analysis of the SU(2) Gauge-Higgs Model at Finite Temperature
• Classical Limit for Scalar Fields at High Temperature
• Comparison of 4d and 3d Lattice Results for the Electroweak Phase Transition
• Real-time contour propagator for high temperature dimensional reduction
• Effective Classical Theory for Real-Time SU(N) Gauge Theories at High Temperature